alleryWhich statement is always true for a differentiable function at a point?
AIt must be monotonic at that point
BIt must also be continuous at that point
CIts derivative must be positive at that point
DIt must have an inverse near that point
Answer & Solution
Correct answer: B. It must also be continuous at that point
Differentiability implies continuity.
A function may be differentiable without having positive derivative, without being monotonic in a neighborhood, and without being invertible near that point.
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